### Home > A2C > Chapter 11 > Lesson 11.3.4 > Problem11-173

11-173.

Simplify each expression. Assume the denominator does not equal zero.

1. $\frac { 3 x + 2 } { x + 2 } + \frac { x - 5 } { 2 x + 4 }$

Find the least common denominator.

$\frac{3x+2}{x+2}+\frac{x-5}{2(x+2)}$

$\frac{2(3x+2)}{2(x+2)}+\frac{x-5}{2(x+2)}$

$\frac{7x-1}{2x+4}$

1. $\frac { 5 } { x ^ { 2 } - 4 } - \frac { 3 } { x + 2 }$

Factor and then find the least common denominator.

$\frac{-3x+11}{x^2-4}$

1. $\frac { 2 x ^ { 2 } + 3 x + 1 } { x ^ { 2 } - 4 } \div \frac { 2 x + 1 } { x + 2 }$

Use the reciprocal to write the expression as a product, then factor and eliminate the common factors.

1. $\frac { x ^ { 3 } - 125 } { 3 x ^ { 2 } - 13 x - 10 }$

Factor, then eliminate the common factors.